115879680 has 288 divisors, whose sum is σ = 470937600. Its totient is φ = 26431488.

The previous prime is 115879627. The next prime is 115879693. The reversal of 115879680 is 86978511.

115879680 is a `hidden beast` number, since 1 + 1 + 587 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 241681 + ... + 242159.

It is an arithmetic number, because the mean of its divisors is an integer number (1635200).

Almost surely, 2^115879680 is an apocalyptic number.

115879680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235468800).

115879680 is an abundant number, since it is smaller than the sum of its proper divisors (355057920).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115879680 is an equidigital number, since it uses as much as digits as its factorization.

115879680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 115879680 is about 10764.7424493111. The cubic root of 115879680 is about 487.5312169359.

The spelling of 115879680 in words is "one hundred fifteen million, eight hundred seventy-nine thousand, six hundred eighty".